48004442630144
48,004,442,630,144 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48004442630144 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
48004442630144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48004442630144:
211 × 72 × 11 × 13 × 29 × 31 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 29 × 31 × 61 × 61)See below for interesting mathematical facts about the number 48004442630144 from the Numbermatics database.
Names of 48004442630144
- Cardinal: 48004442630144 can be written as Forty-eight trillion, four billion, four hundred forty-two million, six hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8004442630144 × 1013
Factors of 48004442630144
Divisors of 48004442630144
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 29 31 32 44 49 52 56 58 61 62 64 77 88 91 98 104 112 116 122 124 128 143 154 176 182 196 203 208 217 224 232 244 248 256 286 308 319 341 352 364 377 392 403 406 416 427 434 448 464 488 496 512 539 572 616 637 638 671 682 704 728 754 784 793 806 812 832 854 868 896 899 928 976 992 1001 1024 1078 1144 1232 1274 1276 1342 1364 1408 1421 1456 1508 1519 1568 1586 1612 1624 1664 1708 1736 1769 1792 1798 1856 1891 1952 1984 2002 2048 2156 2233 2288 2387 2464 2548 2552 2639 2684 2728 2816 2821 2842 2912 2989 3016 3038 3136 3172 3224 3248 3328 3416 3472 3538 3584 3596 3712 3721 3782 3904 3968 4004 4147 4312 4433 4466 4576 4697 4774 4928 5096 5104 5278 5368 5456 5551 5632 5642 5684 5824 5978 6032 6076 6272 6293 6344 6448 6496 6656 6832 6944 7007 7076 7168 7192 7424 7442 7564 7808 7936 8008 8294 8624 8723 8866 8932 9152 9394 9548 9856 9889 10192 10208 10556 10736 10912 11102 11264 11284 11368 11648 11687 11956 12064 12152 12383 12544 12586 12688 12896 12992 13237 13312 13664 13888 14014 14152 14336 14384 14848 14884 15128 15616 15631 15872 16016 16588 16709 17248 17446 17732 17864 18304 18473 18788 19096 19459 19712 19747 19778 20384 20416 20801 21112 21472 21824 22204 22528 22568 22736 22997 23296 23374 23912 24128 24304 24583 24766 25088 25172 25376 25792 25984 26047 26474 26624 27328 27776 28028 28304 28768 29029 29696 29768 30256 31031 31232 31262 31744 32032 32879 33176 33418 34496 34892 35464 35728 36608 36946 37576 38192 38857 38918 39424 39494 39556 40768 40832 40931 41602 42224 42944 43648 44051 44408 45136 45472 45994 46592 46748 47824 48256 48373 48608 49166 49532 50176 50344 50752 51584 51968 52094 52948 54656 54839 55552 56056 56608 57536 58058 59392 59536 60512 61061 62062 62464 62524 63488 64064 65758 66352 66836 68992 69223 69784 70928 71456 73216 73892 75152 76384 77714 77836 78848 78988 79112 81536 81664 81809 81862 83204 84448 85888 86681 87296 88102 88816 90272 90944 91988 92659 93184 93496 95648 96512 96746 97216 98332 99064 100352 100688 101504 103168 103936 104188 105896 107909 109312 109678 111104 112112 113216 115072 115351 116116 119072 121024 122122 124124 124928 125048 128128 128557 131516 132704 133672 136213 137984 138446 139568 141856 142912 145607 146432 147784 150304 152768 155428 155672 157696 157976 158224 160979 163072 163328 163618 163724 166408 168896 171776 172081 173362 174592 176204 177632 180544 181888 182329 183976 185318 186368 186992 191296 193024 193492 194432 196664 198128 201376 203008 203203 206336 207872 208376 211792 215818 217217 218624 219356 222208 224224 226432 230144 230702 232232 238144 242048 244244 248248 250096 252967 256256 257114 263032 265408 267344 270413 272426 275968 276892 279136 283712 285824 286517 291214 292864 295568 300608 305536 310856 311344 315952 316448 321958 326144 326656 327236 327448 332816 337792 338611 343552 344162 346724 349184 352408 355264 361088 363776 364658 367952 370636 373984 382592 383873 386048 386984 388864 393328 396256 402752 406016 406406 412672 415744 416752 423584 427427 431636 434434 437248 438712 444416 448448 452864 460288 461404 464464 476288 484096 484561 488488 496496 500192 505934 512512 514228 526064 530816 532103 534688 540826 544852 551936 553784 558272 567424 571648 572663 573034 582428 591136 601216 603229 611072 621712 622688 631904 632896 643916 652288 653312 654472 654896 665632 675584 677222 687104 688324 693448 698368 704816 710528 712907 722176 727552 729316 735904 741272 747968 755363 765184 767746 772096 773968 777728 786656 792512 805504 807457 812032 812812 825344 833504 847168 854854 863272 868868 874496 877424 896896 899899 905728 920576 922808 928928 952576 953491 968192 969122 976976 992992 1000384 1011868 1019249 1025024 1028456 1052128 1061632 1064206 1069376 1081652 1089704 1103872 1107568 1116544 1126853 1134848 1143296 1145326 1146068 1164856 1182272 1186999 1202432 1204567 1206458 1222144 1243424 1245376 1263808 1265792 1268861 1287832 1304576 1308944 1309792 1331264 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24592439872 25385744384 25864462624 26698800128 26788193432 27136485376 27652328704 28105645568 28848823696 29559385856 29779430912 30267618304 30615078208 31602661376 31833184768 32970084224 33782155264 34094064368 35193872896 35770821632 37621036544 37680096256 38964644992 41961925376 44531022848 46879338506 47956486144 48391575232 49184879744 51728925248 53397600256 53576386864 55304657408 56211291136 57697647392 59118771712 59558861824 60535236608 61230156416 63666369536 65940168448 68188128736 70387745792 71541643264 75242073088 75360192512 77929289984 83923850752 89062045696 93758677012 96783150464 98369759488 103457850496 107152773728 110609314816 112422582272 115395294784 118237543424 119117723648 122460312832 127332739072 131880336896 136376257472 140775491584 150484146176 155858579968 167847701504 187517354024 193566300928 196739518976 206915700992 214305547456 221218629632 230790589568 236475086848 244920625664 263760673792 272752514944 311717159936 335695403008 375034708048 387132601856 393479037952 413831401984 428611094912 461581179136 489841251328 527521347584 545505029888 623434319872 750069416096 774265203712 786958075904 827662803968 857222189824 923162358272 979682502656 1091010059776 1500138832192 1548530407424 1655325607936 1714444379648 1846324716544 2182020119552 3000277664384 3428888759296 3692649433088 4364040239104 6000555328768 6857777518592 12001110657536 24002221315072 48004442630144
- Sum of all divisors σ(n): 142411682649600
- Sum of proper divisors (its aliquot sum) s(n): 94407240019456
- 48004442630144 is an abundant number, because the sum of its proper divisors (94407240019456) is greater than itself. Its abundance is 46402797389312
Bases of 48004442630144
- Binary: 10101110101000111001111100000000101000000000002
- Hexadecimal: 0x2BA8E7C02800
- Base-36: H0KXPPCE8
Squares and roots of 48004442630144
- 48004442630144 squared (480044426301442) is 2304426512230786596377460736
- 48004442630144 cubed (480044426301443) is 110622710301765625903336012996267930025984
-
The
square root of 48004442630144 is 6928523.8420708345 -
The
cube root of 48004442630144 is 36343.5330435421
Scales and comparisons
How big is 48004442630144?- 48,004,442,630,144 seconds is equal to 1,526,392 years, 40 weeks, 6 days, 21 hours, 15 minutes, 44 seconds.
-
To count from 1 to 48,004,442,630,144 would take you about three million, eight hundred fifteen thousand, nine hundred eighty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 48004442630144 cubic inches would be around 3028.6 feet tall.
Recreational maths with 48004442630144
- 48004442630144 backwards is 44103624440084
- 48004442630144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48004442630144's digits is 44
- More coming soon!
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MLA style:
"Number 48004442630144 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 48004442630144 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/48004442630144/
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The information we have on file for 48004442630144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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